Scala analysis: United_Kingdom_Bagpipe_05
Bagpipe 5 (Bagpipes), United Kingdom
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 204.000 cents 204.000000 2: 386.000 cents 386.000000 3: 520.000 cents 520.000000 4: 702.000 cents 702.000000 5: 884.000 cents 884.000000 6: 1017.000 cents 1017.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 183.0000 cents 183.0000 1: 204.0000 cents 204.0000 2: 182.0000 cents 182.0000 3: 134.0000 cents 134.0000 4: 182.0000 cents 182.0000 5: 182.0000 cents 182.0000 6: 133.0000 cents 133.0000 7: 183.0000 cents 183.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 133.00000 cents 1: 1 134.00000 cents 1: 3 182.00000 cents 1: 1 183.00000 cents 1: 1 204.00000 cents 2: 1 315.00000 cents 2: 3 316.00000 cents 2: 1 364.00000 cents 2: 1 386.00000 cents 2: 1 387.00000 cents 3: 1 497.00000 cents 3: 3 498.00000 cents 3: 2 520.00000 cents 3: 1 569.00000 cents 4: 1 631.00000 cents 4: 2 680.00000 cents 4: 3 702.00000 cents 4: 1 703.00000 cents 5: 1 813.00000 cents 5: 1 814.00000 cents 5: 1 836.00000 cents 5: 3 884.00000 cents 5: 1 885.00000 cents 6: 1 996.00000 cents 6: 1 1017.00000 cents 6: 3 1018.00000 cents 6: 1 1066.00000 cents 6: 1 1067.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.66667 = 14/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 204.0 386.0 520.0 702.0 884.0 1017.0 1200.0 204.0 : 182.0 316.0 498.0 680.0 813.0 996.0 1200.0 386.0 : 134.0 316.0 498.0 631.0 814.0 1018.0 1200.0 520.0 : 182.0 364.0 497.0 680.0 884.0 1066.0 1200.0 702.0 : 182.0 315.0 498.0 702.0 884.0 1018.0 1200.0 884.0 : 133.0 316.0 520.0 702.0 836.0 1018.0 1200.0 1017.0: 183.0 387.0 569.0 703.0 885.0 1067.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 133.0000 .. 204.0000 cents 71.00000 cents 133.00000 cents 2: 315.0000 .. 387.0000 cents 72.00000 cents 111.00000 cents 3: 497.0000 .. 569.0000 cents 72.00000 cents 110.00000 cents 4: 631.0000 .. 703.0000 cents 72.00000 cents 62.00000 cents 5: 813.0000 .. 885.0000 cents 72.00000 cents 110.00000 cents 6: 996.0000 .. 1067.0000 cents 71.00000 cents 111.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 133.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 204.00000 cents Average / Smallest step : 1.288937 Largest / Average step : 1.190000 Largest / Smallest step : 1.533835 Median interval of one step : 182.00000 cents, amount: 3 Most common interval of one step : 182.00000 cents, amount: 3 Least squares average step : 173.32857 cents, oct.: 1213.30000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 204 386 520 702 884 1017 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 883 of 883.000 cents and inv. generated superset size: 158 = 151 more = 2257.143% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBBDE Step pattern size order : ECBCCAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 62.00000 cents Scale diversity : 1.346052 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.641667 Rothenberg efficiency : 0.385034 redundancy: 0.614966 Efficiency x scale size : 2.695238 Number of different interval sizes : 28 = 4.66667 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.66667 = 14/3 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 4, average 702.2500 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 71.0000 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 24.1285 c. M: 43.1429 c. Lebeng 12: 2 2 1 2 2 1 2 P M ME S SD: 12.8786 c. M: 20.0000 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 19: 3 3 2 3 3 2 3 SP M ME S SD: 9.0446 c. M: 14.7368 c. Nineteen-tone Mixolydian 31: 5 5 3 5 5 3 5 SP M DE S SD: 9.0267 c. M: 16.7742 c. Intense Diatonic Hypophrygian, M.Mixolydian 33: 6 5 3 5 5 4 5 SP SD: 10.4718 c. M:-14.1818 c. 34: 6 5 4 5 5 4 5 SP T3 S SD: 5.5329 c. M:-9.4118 c. 41: 7 6 5 6 6 5 6 SP T3 S SD: 4.8993 c. M:-7.3902 c. 46: 8 7 5 7 7 5 7 SP T3 S SD: 3.1080 c. M:-5.3043 c. 53: 9 8 6 8 8 6 8 SP T3 S SD: 0.9474 c. M:-1.8679 c. 118: 20 18 13 18 18 13 18 SP T3 S SD: 0.6608 c. M: 1.3559 c. 171: 29 26 19 26 26 19 26 SP T3 S SD: 0.4027 c. M: 0.7018 c. 270: 46 41 30 41 41 30 41 SP T3 S SD: 0.4620 c. M:-0.7778 c. 323: 55 49 36 49 49 36 49 SP T3 S SD: 0.4238 c. M:-0.9567 c. 388: 66 59 43 59 59 43 59 SP T3 S SD: 0.3983 c. M:-0.5979 c. 395: 67 60 44 60 60 44 60 SP T3 S SD: 0.3911 c. M:-0.7215 c. 441: 75 67 49 67 67 49 67 SP T3 S SD: 0.3454 c. M:-0.6871 c. 494: 84 75 55 75 75 55 75 SP T3 S SD: 0.3361 c. M:-0.8138 c. 559: 95 85 62 85 85 62 85 SP T3 S SD: 0.3570 c. M:-0.5313 c. 588: 100 89 66 89 89 65 90 SP SD: 0.3416 c. M: 0.6735 c. 612: 104 93 68 93 93 68 93 SP T3 S SD: 0.3282 c. M:-0.6471 c. 641: 109 97 72 97 97 71 98 SP SD: 0.3114 c. M: 0.4633 c. 653: 111 99 73 99 99 72 100 SP SD: 0.2945 c. M: 0.7672 c. 694: 118 105 78 105 105 77 106 SP SD: 0.3035 c. M:-0.4611 c. 706: 120 107 79 107 107 78 108 SP SD: 0.2352 c. M: 0.5694 c. 759: 129 115 85 115 115 84 116 SP SD: 0.2007 c. M: 0.3992 c. 805: 137 122 90 122 122 89 123 SP SD: 0.1919 c. M: 0.3540 c. 812: 138 123 91 123 123 90 124 SP SD: 0.1903 c. M: 0.2857 c. 824: 140 125 92 125 125 91 126 SP SD: 0.1993 c. M: 0.4951 c. 858: 146 130 96 130 130 95 131 SP SD: 0.1605 c. M:-0.2797 c. 877: 149 133 98 133 133 97 134 SP SD: 0.1561 c. M: 0.3523 c. 911: 155 138 102 138 138 101 139 SP SD: 0.1518 c. M:-0.3074 c. 923: 157 140 103 140 140 102 141 SP SD: 0.1421 c. M: 0.3153 c. 930: 158 141 104 141 141 103 142 SP SD: 0.1341 c. M: 0.2258 c. 976: 166 148 109 148 148 108 149 SP SD: 0.0942 c. M: 0.1967 c. 1029: 175 156 115 156 156 114 157 SP SD: 0.0669 c. M:-0.1166 c. 1147: 195 174 128 174 174 127 175 SP SD: 0.0438 c. M: 0.0863 c. 1200: 204 182 134 182 182 133 183 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 0.0225 cents 3 x x 4 x 5 x 6 S SD: 7.3193 cents 4 x 5 x 6 x 7:8 S SD: 12.0438 cents 5 x 6:7 x 8:9:10 S SD: 23.4968 cents 6:7 x 8:9:10:11:12 S SD: 12.3404 cents 7:8:9 x 11:12:13:14 SD: 20.4346 cents 8:9:10:11:12:13:14:16 S SD: 10.2932 cents 10:11 x 14:15:17:18:20 SD: 13.5696 cents 11:12:14:15:17:18:20:22 SD: 12.8606 cents 12:14:15:16:18:20:22:24 S SD: 10.5776 cents 14:16:18:19:21:23:25:28 SD: 9.0352 cents 15:17:19:20:23:25:27:30 SD: 7.3237 cents 16:18:20:22:24:27:29:32 SD: 5.7449 cents 23:26:29:31:35:38:41:46 SD: 5.3677 cents 24:27:30:32:36:40:43:48 SD: 3.3122 cents 32:36:40:43:48:53:58:64 SD: 2.6357 cents 40:45:50:54:60:67:72:80 SD: 1.2900 cents 48:54:60:65:72:80:86:96 SD: 1.2732 cents 72:81:90:97:108:120:130:144 SD: 1.0255 cents 80:90:100:108:120:133:144:160 SD: 0.5797 cents 120:135:150:162:180:200:216:240 SD: 0.1273 cents 368:414:460:497:552:613:662:736 SD: 0.1205 cents 408:459:510:551:612:680:734:816 SD: 0.0892 cents 488:549:610:659:732:813:878:976 SD: 0.0749 cents 528:594:660:713:792:880:950:1056 SD: 0.0723 cents